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Unit #1 Review

Total questions: 50

Worksheet time: 1hrs 14mins

Name
Class
Date
1.

Where should -√169 be placed in the Venn diagram?

a)

Rational numbers, because -√169 is equal to -84.5

b)

Integers, because -√169 is equal to -13

c)

Irrational numbers, because -√169 is equal to -84.5

d)

Whole numbers, because -√169 is equal to 13

2.

The area of a square wall is 182 square feet. Which measurement is closest to the side length in feet of this wall?

a)

91.0 ft

b)

13.5 ft

c)

54.0 ft

d)

45.5 ft

3.

Which Venn diagram correctly represents the relationship between rational and irrational numbers?

a)

b)

c)

d)

4.
a)

A

b)

B

c)

C

d)

D

5.
a)

b)

c)

d)

6.

The radius of the planet Neptune is approximately 15,300 miles. How is this number of miles written in scientific notation?

a)

b)

c)

d)

7.

The density of oxygen is 0.001429 grams per cubic centimeter. How is this number written in scientific notation?

a)

b)

c)

d)

8.

The area of a square is 144 square centimeters. What is the side length of the square?

a)

72 cm

b)

12 cm

c)

36 cm

d)

48 cm

9.
Hunter finished 3/8 of his homework before supper.  Macy finished 2/3 of her homework before supper.  Which statement correctly compares the fractions?
a)
3/8 < 2/3
b)
3/8 > 2/3
c)
3/8 =  2/3
d)
2/3 < 3/8
10.
What type of number is π ?
a)
Rational
b)
Irrational
11.
A repeating decimal or decimal that terminates is called a 
a)
Natural Number
b)
Irrational Number
c)
Rational Number
d)
Whole Number
12.
Is √2 Irrational?
a)
Yes
b)
No
13.
-14 could NOT be which type of number?
a)
Integer
b)
Real
c)
Rational
d)
Natural
14.
a)
Repeating Decimal
b)
Terminating Decimal
15.
Which of the following is a set of natural numbers?
a)
0,1,2,3,4...
b)
1,2,3,4,...
c)
-3,-2,-1,0,1,2,3...
d)
1/2, 1/4, 1/8, 1/16...
16.
Classify the following:
0.04769165821735......
a)
Irrational
b)
Rational
17.
A number can be rational and irrational.
a)
True
b)
False
18.

Rachel states that -5.5 is an integer because it is negative.

Is she correct?

Why or why not?

a)

Yes, because all negatives are integers.

b)

Yes, because all integers have decimals.

c)

No, because integers do not have decimals.

d)

No, because integers cannot be negative.

19.

Jeremy says that 5.676677666777... is a rational number because it is a decimal that goes on forever with a pattern.

Is he correct?

Why or why not?

a)

Yes, because the decimal is repeating.

b)

No, because it is an integer.

c)

No, because a pattern is not a repeating decimal.

20.

Which could be the value of D?

a)

-10

b)

0

c)

34\frac{3}{4}

d)

2.5

21.

Which could NOT be the value of B?

a)

5

b)

12\frac{1}{2}

c)

-12.5

d)

32\sqrt{32}

22.

Which example could be represented by A?

a)

-2.555555...

b)

3.14

c)

π\pi

d)

34\frac{3}{4}

23.

The Venn diagram represents the relationships between the set of real numbers and its subsets. Which is the most specific subset that includes 7.15?

a)

Natural

b)

Whole

c)

Integer

d)

Rational

24.

The area of a square floor is 169 square feet. What is the side length of the sqaure?

(a)  

25.

The area of a square is 64 square units. What is the side length of the square?

(a)  

26.

Which value is a perfect square?

a)

48

b)

24

c)

225

d)

125

27.

Which of these is an example of an integer?

a)

33

b)

3.3

c)

√3

d)

1∕3

28.

Which of these is an example of a rational number?

a)

√4

b)

√5

c)

√3

d)

√2

29.

Which of these is an example of an irrational number?

a)

√2

b)

√1

c)

√9

d)

√25

30.

Which of these is an example of a terminating decimal?

a)

1⁄2

b)

1⁄3

c)

2⁄3

d)

1⁄7

31.

Which of the following is Rational?

a)

√52

b)

√18

c)

√64

d)

√15

32.

Which of the following is Irrational?

a)

1.83838383...

b)

5/2

c)

√16

d)

√8

33.

What is 40% as a fraction in simplified form?

a)

2/5

b)

1/5

c)

4/5

d)

4/8

34.
What is the decimal equivalent of 3/5?
a)
0.3
b)
3.5
c)
0.6
d)
0.2
35.
Which is ordered least to greatest?
a)
1/4, -3/7, 1/2
b)
-3/7, 1/2, 1/4
c)
1/2, 1/4, -3/7
d)
-3/7, 1/4, 1/2
36.

Which number is the smallest?

a)

A

b)

B

c)

C

d)

D

e)

E

37.

Which number is the greatest?

a)

A

b)

B

c)

C

d)

D

e)

E

38.
Which of these values is the LEAST?
a)
0
b)
-3
c)
65%
d)
1/2
39.
Which of these values is the GREATEST?
a)
63/7
b)
8.99
c)
450%
d)
-22
40.
Fill in the blank with the correct sign >, < , or =
-3.4  ________ -2.5
a)
>
b)
<
c)
=
41.
List in order from greatest to least
12, -9, -6, 10
a)
12, 9, 6, 10
b)
-6, -9, 10, 12
c)
5, 4, 3, 21
d)
12, 10, -6, -9
42.

Who is the tallest? (Hint: turn all fractions into decimals)

(a)  

43.
Order 3π, √ 10 , and 3.25 from least to greatest.
a)
√ 10, 3π, 3.25
b)
√ 10, 3.25, 3π
c)
3π, 3.25, √ 10
d)
 3.25, √ 10, 3π
44.
Which list of numbers is in order from least to greatest?
a)
A √23, 5, 6, 43%
b)
B 5, √23, 6, 43%
c)
C 43%, 5, √23, 6
d)
D 43%, √23, 5, 6
45.
a)

0.7, 65%, ⅝, ⅔

b)

0.7, ⅝, 65%, ⅔

c)

⅝, 65%, ⅔, 0.7

d)

⅝, ⅔, 65%, 0.7

46.

List the following numbers from least to greatest.
54, 56%, 1.07, 45\frac{5}{4},\ 56\%,\ 1.07,\ \frac{4}{5}  

a)

45, 54, 1.07, 56%\frac{4}{5},\ \frac{5}{4},\ 1.07,\ 56\%  

b)

45, 56%, 54, 1.07\frac{4}{5},\ 56\%,\ \frac{5}{4},\ 1.07  

c)

56%, 45, 54, 1.0756\%,\ \frac{4}{5},\ \frac{5}{4},\ 1.07  

d)

56%, 45, 1.07, 5456\%,\ \frac{4}{5},\ 1.07,\ \frac{5}{4}  

47.
Which is ordered in ascending order?
a)
1/4, -3/7, 1/2
b)
-3/7, 1/2, 1/4
c)
1/2, 1/4, -3/7
d)
-3/7, 1/4, 1/2
48.
Put in the symbol to make the statement true...
-17.5   _________ -√121
a)
>
b)
<
c)
=
49.

Between which if these does √27 lay on a number line?

a)

5 and 6

b)

6 and 7

c)

4 and 5

50.

An inequality is shown.

⅛ < x < 18%

Which value for x makes the inequality true?

a)

b)

1.6

c)

0.09

d)

√0.02